# Properties

 Label 2016.2.fb Level 2016 Weight 2 Character orbit fb Rep. character $$\chi_{2016}(293,\cdot)$$ Character field $$\Q(\zeta_{24})$$ Dimension 3040 Sturm bound 768

# Related objects

## Defining parameters

 Level: $$N$$ = $$2016 = 2^{5} \cdot 3^{2} \cdot 7$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 2016.fb (of order $$24$$ and degree $$8$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$2016$$ Character field: $$\Q(\zeta_{24})$$ Sturm bound: $$768$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(2016, [\chi])$$.

Total New Old
Modular forms 3104 3104 0
Cusp forms 3040 3040 0
Eisenstein series 64 64 0

## Trace form

 $$3040q - 24q^{2} - 8q^{4} - 4q^{7} - 16q^{9} + O(q^{10})$$ $$3040q - 24q^{2} - 8q^{4} - 4q^{7} - 16q^{9} - 24q^{11} - 12q^{14} - 8q^{16} - 16q^{18} - 8q^{21} - 8q^{22} - 24q^{23} - 8q^{25} - 16q^{28} - 24q^{29} + 40q^{30} - 24q^{32} + 24q^{36} - 32q^{37} - 16q^{39} - 8q^{42} - 8q^{43} - 32q^{46} - 24q^{50} + 32q^{51} - 12q^{56} - 16q^{57} - 8q^{58} - 48q^{60} - 16q^{63} - 32q^{64} - 48q^{65} - 8q^{67} - 4q^{70} - 16q^{72} - 24q^{74} - 12q^{77} + 136q^{78} + 88q^{84} + 32q^{85} - 24q^{86} - 8q^{88} - 16q^{91} - 24q^{92} - 40q^{93} - 48q^{95} - 16q^{99} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(2016, [\chi])$$ into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

## Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database